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Finding the Fourth Proportional to 12,382.50, 18,573.75 and 3,617.49

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Solution

The fourth proportional to 12,382.50, 18,573.75 and 3,617.49 is: 5,426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.50 : 18,573.75 = 3,617.49 : x
  2. Step 2: Convert to fraction form
    12,382.50/18,573.75 = 3,617.49/x
  3. Step 3: Cross multiply
    12,382.50x = 18,573.75 × 3,617.49
  4. Step 4: Simplify right side
    12,382.50x = 67,190,354.89
  5. Step 5: Solve for x
    x = 67,190,354.89/12,382.50
  6. Step 6: Final answer
    x = 5,426.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.